How to draw a golden rectangle (2024)

If you want to make a golden rectangle for a painting or a design, this is an easy way of doing it.

  1. Draw an exact square.
  2. Find the middle point of the bottom of the square.
  3. Measure from the middle point to the top corner.
  4. Extend the bottom line out from the middle point by the same amount and make the square into a rectangle.
  5. Notice that every time you take a square out of a golden rectangle you are left with a smaller golden rectangle.

If you want to check your golden rectangles, measure the short side and multiply it by 1.618. The resulting number should be the length of the long side.

If you want to find the golden section for a composition, this a way to do it.

  1. Measure the length of your line.
  2. Divide the number you found by 1.618.
  3. Use the answer to measure the distance to the golden section from the end of the line.
  4. Measure from the other end to find the golden section on the other side.
How to draw a golden rectangle (2024)

FAQs

What is the formula for a golden rectangle? ›

The golden rectangle is a rectangle whose sides are in the golden ratio, that is (a + b)/a = a/b = φ , where a is the width, a + b is the length of the rectangle, and φ is the golden ratio: φ = (1+√5)/2 . The ratio calculator is an effective tool to assist in calculating ratios in general.

How do you draw a golden ratio shape? ›

How to draw a golden rectangle
  1. Draw an exact square.
  2. Find the middle point of the bottom of the square.
  3. Measure from the middle point to the top corner.
  4. Extend the bottom line out from the middle point by the same amount and make the square into a rectangle.

How to plot the golden ratio? ›

You can find the Golden Ratio when you divide a line into two parts and the longer part (a) divided by the smaller part (b) is equal to the sum of (a) + (b) divided by (a), which both equal 1.618. This formula can help you when creating shapes, logos, layouts, and more.

What is a golden rectangle for dummies? ›

The golden ratio is expressed as a b = a + b a = 1.61803 . . . = ϕ where a stands for the long side and the b stands for the short side. The golden ratio says that when the long side is divided by the short side, it is equal to the sum of the two sides divided by the long side.

What is the golden rectangle way? ›

A golden rectangle can be constructed with only a straightedge and compass in four steps: Draw a square. Draw a line from the midpoint of one side of the square to an opposite corner. Use that line as the radius to draw an arc that defines the height of the rectangle.

How do you make a golden rectangle out of paper? ›

How to Fold a Golden Rectangle
  1. Begin with a square sheet of paper and fold in half as shown along EF. ...
  2. Then fold along the line AF to create a right triangle AEF. ...
  3. Now fold the angle bisector of angle BAF by folding AF to the edge AB. ...
  4. Now fold HI perpendicular to the edge.

How to draw a Fibonacci sequence? ›

Draw 7 touching squares: 2 1x1 squares on top of each other, a 2x2 left of them, a 3x3 below them, a 5x5 to the right, an 8x8 on top, and a 13x13 to the left. Place a compass in the bottom, left corner of the first 1x1 square and turn it through the opposite corner of each square, adjusting it as you go.

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